Question

1-6 Enrichment Basic Constructions An optical illusion is an image that often is misleading to the human eye. The following images are optical illusigns. How do you view each image? Do you see the cube from above or below? How many balls are on each shelf? Which shelf are they on?straight or curved? Are the inside vertical lines The optical illusion at the right can be viewed in two ways. It can be viewed as a cube with another cube on its corner or as a cube with a comer cut out Use the following steps to make this optical illusion. Use a pencil for steps 1-6 so that your pencil marks can be erased when you have fimished. Do construction on the back of the paper. 1. Use a compass to draw a circle and keep the compass settings 2. Place a point on the circumference of the circle. Label this point A 3. Place the tip of the compass at point.4, and mark an arc on the circle counterclockwise from A. Label the point where the are intersects the circle as point B 4. Place the tip of the compass at point B, and mark a similar arc on the circle next to B. Label the point where the arc intersects the circle as point C Repeat this step to mark D. E and F 5. Use a straightedge to draw AD, BE, and CF. Label the intersection of these three line segments as point / 6. Use a compass to find the midpoint of Ai. Label this point A: Repeat this step to find midpoints of Bl . Cl . DI El、and Fi 7. Use a straightedge to draw hexagon ABCDEF 8. Use a straightedge to draw hexagon A'BCDEF 9. Name the two polygons you shade to make the optical illusion. 10.Name the two polygons you shade to cause the illusion of a roonm with a cube on the floor in the corner. 11.Shade the two polygons named in Step 9 or 10 to complete one of the optical illusions. Then erase all lines drawn with a pencil. Prentice Hall Geometry Teaching Resources Copyright Q by Pearson Educatsion, inc, or ts ailanes Ald Rghts Reservec 58

Answer 1

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We have shaded the polygons A' I E' F' and BCDD'C'B' to make the illusion that a cube is placed in the corner of a room.